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Finding the Fourth Proportional to 802.56, 1,202.91 and 391.08

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Solution

The fourth proportional to 802.56, 1,202.91 and 391.08 is: 586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.56 : 1,202.91 = 391.08 : x
  2. Step 2: Convert to fraction form
    802.56/1,202.91 = 391.08/x
  3. Step 3: Cross multiply
    802.56x = 1,202.91 × 391.08
  4. Step 4: Simplify right side
    802.56x = 470,434.04
  5. Step 5: Solve for x
    x = 470,434.04/802.56
  6. Step 6: Final answer
    x = 586.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.